Interpretation:
The magnetic fields of hyperfine lines and their relative intensities have to be stated for a radical that has three inequivalent protons.
Concept introduction:
EPR stands for electronic paramagnetic resonance. It is used to study species that contain unpaired electrons. EPR can be used to study both solids and liquids. However, the study of the gas phase samples is difficult due to the free rotation of the molecules. The
Answer to Problem 12D.3BE
The magnetic fields of hyperfine lines are
Explanation of Solution
The coupling constants of the ESR spectrum of a radical that has two inequivalent protons are
The center of the ESR spectrum is
When two different nuclei are coupled, then the splitting of two adjacent ESR lines is given by
The hyperfine lines form by first splitting is separated by
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine lines form by second splitting is separated by
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine lines form by second splitting is separated by
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
The hyperfine line on the left side of line with magnetic field equal to
The hyperfine line on the right side of line with magnetic field equal to
Therefore, the magnetic fields of hyperfine lines are
The difference in the peaks
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